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Finding the Fourth Proportional to 642,546, 886,732.92 and 356,039.28

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Solution

The fourth proportional to 642,546, 886,732.92 and 356,039.28 is: 491,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,546 : 886,732.92 = 356,039.28 : x
  2. Step 2: Convert to fraction form
    642,546/886,732.92 = 356,039.28/x
  3. Step 3: Cross multiply
    642,546x = 886,732.92 × 356,039.28
  4. Step 4: Simplify right side
    642,546x = 315,711,750,389.10
  5. Step 5: Solve for x
    x = 315,711,750,389.10/642,546
  6. Step 6: Final answer
    x = 491,344.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.